Derivations, local derivations and atomic boolean subspace lattices

DOI10.1017/S0004972700040314zbMath1049.47034MaRDI QIDQ4806502

Jipu Ma, Peng Tong Li

Publication date: 13 July 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spacereflexive operator algebraatomic Boolean subspace latticelocal inner derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Note on derivations of certain non-CSL algebras, Derivations of CDC algebras, Spatiality of derivations of operator algebras in Banach spaces, Derivations on the algebra of operators in Hilbert \(C^*\)-modules, Centralizers of \(\mathcal J\)-subspace lattice algebras, Local maps of JSL algebras

Cites Work

• On the rank of operators in reflexive algebras
• Local derivations
• Local derivations of reflexive algebras II
• Approximants, Commutants and Double Commutants in Normed Algebras
• Strongly Reflexive Lattices
• Local derivations of reflexive algebras
• Local derivations on $C^*$-algebras are derivations
• The Embedding Theorem for the Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type
• Algebraic Isomorphisms and Finite Distributive Subspace Lattices